22085812449792 has 3600 divisors, whose sum is σ = 91138313471040. Its totient is φ = 5204068466688.

The previous prime is 22085812449731. The next prime is 22085812449823. The reversal of 22085812449792 is 29794421858022.

22085812449792 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 58 + 1 + 2 + 4 + 497 + 92 = 666.

It is a super-2 number, since 2×22085812449792² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 513623545323 + ... + 513623545365.

Almost surely, 2^{22085812449792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22085812449792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45569156735520).

22085812449792 is an abundant number, since it is smaller than the sum of its proper divisors (69052501021248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22085812449792 is a wasteful number, since it uses less digits than its factorization.

22085812449792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 22085812449792 in words is "twenty-two trillion, eighty-five billion, eight hundred twelve million, four hundred forty-nine thousand, seven hundred ninety-two".